Module Handbook

  • Dynamischer Default-Fachbereich geändert auf MAT

Course MAT-43-12-K-7

Representation Theory (4V+2U, 9.0 LP)

Course Type

SWS Type Course Form CP (Effort) Presence-Time / Self-Study
- K Lecture with exercise classes (V/U) 9.0 CP 186 h
4 V Lecture 56 h
2 U Exercise class (in small groups) 28 h
(4V+2U) 9.0 CP 84 h 186 h

Basedata

SWS 4V+2U
CP, Effort 9.0 CP = 270 h
Position of the semester 1 Sem. irreg.
Level [7] Master (Advanced)
Language [EN] English
Lecturers
+ further Lecturers of the department Mathematics
Area of study [MAT-AGCA] Algebra, Geometry and Computer Algebra
Additional informations
Livecycle-State [NORM] Active

Contents

Modules over rings and algebras:
  • Theorems of Wedderburn, Jordan-Hölder and Krull-Schmidt.

Modules over group algebras:

  • induction and restriction,
  • the Mackey formula,
  • Clifford theory,
  • projective representations,
  • blocks.

Representation theory of symmetric groups.

Literature

  • J. L. Alperin: Local Representation theory,
  • G. Navarro: Characters and blocks of finite groups,
  • D. Benson: Modular Representation Theory.

Materials

Further literature will be announced in the lecture.

Requirements for attendance (informal)

Knowledge from the module [MAT-40-25-M-4] is useful but not necessarily required.

Modules:

Courses

Requirements for attendance (formal)

None

References to Course [MAT-43-12-K-7]

Module Name Context
[MAT-43-12-M-7] Representation Theory P: Obligatory 4V+2U, 9.0 LP